diff --git a/llvm/lib/IR/Verifier.cpp b/llvm/lib/IR/Verifier.cpp
--- a/llvm/lib/IR/Verifier.cpp
+++ b/llvm/lib/IR/Verifier.cpp
@@ -1411,6 +1411,16 @@
     CheckDI(N.isDistinct(), "subprogram definitions must be distinct", &N);
     CheckDI(Unit, "subprogram definitions must have a compile unit", &N);
     CheckDI(isa<DICompileUnit>(Unit), "invalid unit type", &N, Unit);
+    // When more than one module is imported into the same context, such as
+    // during an LTO build, there's no good way to cross the CU boundary for the
+    // DISubprogram that is nested within the ODR type.
+    auto *CT = dyn_cast_or_null<DICompositeType>(N.getRawScope());
+    if (CT && CT->getRawIdentifier() &&
+        M.getContext().isODRUniquingDebugTypes())
+      CheckDI(N.getDeclaration(),
+              "definition subprograms cannot be nested within DICompositeType "
+              "when enabling ODR",
+              &N);
     if (N.getFile())
       verifySourceDebugInfo(*N.getUnit(), *N.getFile());
   } else {
diff --git a/llvm/test/Verifier/disubprogram-declaration-within-struct-2.ll b/llvm/test/Verifier/disubprogram-declaration-within-struct-2.ll
new file mode 100644
--- /dev/null
+++ b/llvm/test/Verifier/disubprogram-declaration-within-struct-2.ll
@@ -0,0 +1,43 @@
+; RUN: opt -passes=verify -S < %s 2>&1 | FileCheck %s
+; RUN: opt -passes=verify -S --disable-debug-info-type-map < %s | FileCheck --check-prefix=CHECK-NOT-ODR %s
+
+; Same content as the disubprogram-declaration-within-struct.ll file, except the `identifier` for `DICompositeType` is removed.
+
+; ModuleID = 'foo.7e668e4a-cgu.0'
+source_filename = "foo.7e668e4a-cgu.0"
+target datalayout = "e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-f80:128-n8:16:32:64-S128"
+target triple = "x86_64-unknown-linux-gnu"
+
+; foo::Foo::bar
+; Function Attrs: nonlazybind uwtable
+define void @_ZN3foo3Foo3bar17h32d65c44145019c8E() unnamed_addr #0 !dbg !6 {
+start:
+  ret void, !dbg !14
+}
+
+attributes #0 = { nonlazybind uwtable "probe-stack"="__rust_probestack" "target-cpu"="x86-64" }
+
+!llvm.module.flags = !{!0, !1, !2, !3}
+!llvm.dbg.cu = !{!4}
+
+!0 = !{i32 7, !"PIC Level", i32 2}
+!1 = !{i32 2, !"RtLibUseGOT", i32 1}
+!2 = !{i32 2, !"Dwarf Version", i32 4}
+!3 = !{i32 2, !"Debug Info Version", i32 3}
+!4 = distinct !DICompileUnit(language: DW_LANG_Rust, file: !5, producer: "clang LLVM (rustc version 1.69.0 (84c898d65 2023-04-16))", isOptimized: false, runtimeVersion: 0, emissionKind: FullDebug, splitDebugInlining: false)
+!5 = !DIFile(filename: "foo.rs/@/foo.7e668e4a-cgu.0", directory: "/tmp")
+!6 = distinct !DISubprogram(name: "bar", linkageName: "_ZN3foo3Foo3bar17h32d65c44145019c8E", scope: !8, file: !7, line: 4, type: !12, scopeLine: 4, flags: DIFlagPrototyped, spFlags: DISPFlagDefinition, unit: !4, templateParams: !11, retainedNodes: !11)
+!7 = !DIFile(filename: "foo.rs", directory: "/tmp", checksumkind: CSK_MD5, checksum: "427d9b572596c2f310b6185a1781f222")
+!8 = !DICompositeType(tag: DW_TAG_structure_type, name: "Foo", scope: !10, file: !9, align: 8, elements: !11)
+!9 = !DIFile(filename: "<unknown>", directory: "")
+!10 = !DINamespace(name: "foo", scope: null)
+!11 = !{}
+!12 = !DISubroutineType(types: !13)
+!13 = !{null}
+!14 = !DILocation(line: 6, column: 6, scope: !6)
+
+; CHECK-NOT: definition subprograms cannot be nested within DICompositeType when enabling ODR
+; CHECK-NOT: warning: ignoring invalid debug info
+
+; CHECK-NOT-ODR-NOT: definition subprograms cannot be nested within DICompositeType when enabling ODR
+; CHECK-NOT-ODR-NOT: warning: ignoring invalid debug info
diff --git a/llvm/test/Verifier/disubprogram-declaration-within-struct.ll b/llvm/test/Verifier/disubprogram-declaration-within-struct.ll
new file mode 100644
--- /dev/null
+++ b/llvm/test/Verifier/disubprogram-declaration-within-struct.ll
@@ -0,0 +1,47 @@
+; RUN: opt -passes=verify -disable-output < %s 2>&1 | FileCheck %s
+; RUN: opt -passes=verify -S --disable-debug-info-type-map < %s | FileCheck --check-prefix=CHECK-NOT-ODR %s
+
+; The Rust source:
+; pub struct Foo;
+; impl Foo {
+;   pub fn bar() {}
+; }
+
+; ModuleID = 'foo.7e668e4a-cgu.0'
+source_filename = "foo.7e668e4a-cgu.0"
+target datalayout = "e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-f80:128-n8:16:32:64-S128"
+target triple = "x86_64-unknown-linux-gnu"
+
+; foo::Foo::bar
+; Function Attrs: nonlazybind uwtable
+define void @_ZN3foo3Foo3bar17h32d65c44145019c8E() unnamed_addr #0 !dbg !6 {
+start:
+  ret void, !dbg !14
+}
+
+attributes #0 = { nonlazybind uwtable "probe-stack"="__rust_probestack" "target-cpu"="x86-64" }
+
+!llvm.module.flags = !{!0, !1, !2, !3}
+!llvm.dbg.cu = !{!4}
+
+!0 = !{i32 7, !"PIC Level", i32 2}
+!1 = !{i32 2, !"RtLibUseGOT", i32 1}
+!2 = !{i32 2, !"Dwarf Version", i32 4}
+!3 = !{i32 2, !"Debug Info Version", i32 3}
+!4 = distinct !DICompileUnit(language: DW_LANG_Rust, file: !5, producer: "clang LLVM (rustc version 1.69.0 (84c898d65 2023-04-16))", isOptimized: false, runtimeVersion: 0, emissionKind: FullDebug, splitDebugInlining: false)
+!5 = !DIFile(filename: "foo.rs/@/foo.7e668e4a-cgu.0", directory: "/tmp")
+!6 = distinct !DISubprogram(name: "bar", linkageName: "_ZN3foo3Foo3bar17h32d65c44145019c8E", scope: !8, file: !7, line: 4, type: !12, scopeLine: 4, flags: DIFlagPrototyped, spFlags: DISPFlagDefinition, unit: !4, templateParams: !11, retainedNodes: !11)
+!7 = !DIFile(filename: "foo.rs", directory: "/tmp", checksumkind: CSK_MD5, checksum: "427d9b572596c2f310b6185a1781f222")
+!8 = !DICompositeType(tag: DW_TAG_structure_type, name: "Foo", scope: !10, file: !9, align: 8, elements: !11, identifier: "a8fd67db4e906c9c4aceea39cb8b0f61")
+!9 = !DIFile(filename: "<unknown>", directory: "")
+!10 = !DINamespace(name: "foo", scope: null)
+!11 = !{}
+!12 = !DISubroutineType(types: !13)
+!13 = !{null}
+!14 = !DILocation(line: 6, column: 6, scope: !6)
+
+; CHECK: definition subprograms cannot be nested within DICompositeType when enabling ODR
+; CHECK: warning: ignoring invalid debug info
+
+; CHECK-NOT-ODR-NOT: definition subprograms cannot be nested within DICompositeType when enabling ODR
+; CHECK-NOT-ODR-NOT: warning: ignoring invalid debug info